{
  "annotation_id": "642f0fb4-27bc-40e2-be44-9a1af6852299",
  "date_created": "2026-03-02T18:02:19.350000Z",
  "date_modified": "2026-03-02T18:02:19.350000Z",
  "file_hash": "a38c8f22b70f1db11898448cdcf27206a3635b82243e975a7d9be24a3c539b61",
  "private": false,
  "record": {
    "abstract": "There are several examples of bipartite entangled states of continuous\nvariables for which the existing criteria for entanglement using the\ninequalities involving the second order moments are insufficient. We derive new\ninequalities involving higher order correlation, for testing entanglement in\nnon-Gaussian states. In this context we study an example of a non-Gaussian\nstate, which is a bipartite entangled state of the form $\\psi(x_{\\rm a},x_{\\rm\nb})\\propto (\\alpha x_{\\rm a}+\\beta x_{\\rm b})e^{-(x_{\\rm a}^2+x_{\\rm b}^2)/2}$.\nOur results open up an avenue to search for new inequalities to test\nentanglement in non-Gaussian states.",
    "arxiv_id": "quant-ph/0507144",
    "authors": [
      "G. S. Agarwal",
      "Asoka Biswas"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/1367-2630/7/1/211",
    "journal_ref": "New Journal of Physics 7, 211 (2005)",
    "title": "Inseparability inequalities for higher-order moments for bipartite   systems",
    "url": "https://arxiv.org/abs/quant-ph/0507144"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a2235a4d-f6dd-4ac5-ac63-3765859035de",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}